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Finding the Third Proportional to 577,863 and 898,268

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Solution

The third proportional to 577,863 and 898,268 is: 1,396,326.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,863 : 898,268 = 898,268 : x
  2. Step 2: Convert to fraction form
    577,863/898,268 = 898,268/x
  3. Step 3: Cross multiply
    577,863x = 898,268 × 898,268
  4. Step 4: Simplify right side
    577,863x = 806,885,399,824
  5. Step 5: Solve for x
    x = 806,885,399,824/577,863
  6. Step 6: Final answer
    x = 1,396,326.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.